\documentclass{article}
\usepackage{pgfplots}

\pgfplotsset{compat=1.4}

\begin{document}

\begin{tikzpicture}


\begin{axis}[
    ymin = 0, ymax = 60000,
    ]

    \addplot[error bars/.cd, error mark=-, x dir=none, y dir=both, y explicit relative]
                table[x=theta, y=exp, y error=errorbars] {
theta   exp          sim          relativeerror   errorbars
10      5439.5       3241.8       -40.4026        0.036212
20      12256.5      10518.1      -14.1832        0.023798
30      18469.5      19819.8      7.3109          0.021885
40      26900        28341.3      5.358122        0.021386
50      40902        44859.2      9.674814        0.021262
60      46348        51647.4      11.43391        0.02124
70      43877        47986.3      9.365563        0.021231
80      41886.5      48017.3      14.63673        0.021239
90      24937        32576.7      30.63588        0.021409
};
\end{axis}
\end{tikzpicture}

\end{document}
